Skip to Main Content
Frequently Asked Questions
Submit an ETD
Global Search Box
Need Help?
Keyword Search
Participating Institutions
Advanced Search
School Logo
Files
File List
Hogan, Adam accepted thesis 04-09-14 Sp 14.pdf (361.55 KB)
ETD Abstract Container
Abstract Header
Leibniz Did Not State Leibniz's Law
Author Info
Hogan, Adam D.
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1397054389
Abstract Details
Year and Degree
2014, Master of Arts (MA), Ohio University, Philosophy (Arts and Sciences).
Abstract
In this thesis I propose that Leibniz did not state Leibniz's Law, the logically and metaphysically robust principle that is typically understood as the following bi-conditional: ∀x ∀y [(x = y) ↔ ∀P (Px ↔ Py)]. To arrive at this conclusion, I examine the three principles that have become associated with Leibniz's Law: the Substitutivity Principle (salva veritate), the Indiscernibility of Identicals, and the Identity of Indiscernibles. I show that Leibniz intended salva veritate as a semantic principle, never explicitly stated the Indiscernibility of Identicals, and understood the Identity of Indiscernibles as a metaphysical principle. In the debate about Leibniz's Law, I focus on four commentators: (1) W. V. O. Quine's construal of salva veritate as the Indiscernibility of Identicals, (2) Nicholas Rescher's contention that both the Identity of Indiscernibles and salva veritate may be construed as Leibniz's Law, (3) Fred Feldman's argument that Leibniz did not state a law or definition of identity, but only a criterion of identity for concepts, and (4) Edwin Curley's response to Feldman, that Feldman's assumptions, along with passages in Leibniz, show Leibniz did state Leibniz's Law I argue that Feldman's position is not completely correct, but can be amended with insights from Quine, Rescher, and Curley, and by reference to Leibniz's Complete Concept Theory.
Committee
James Petrik, PhD. (Advisor)
Pages
62 p.
Subject Headings
Logic
;
Philosophy
Keywords
Leibniz
;
identity
;
substitution
;
Leibnizs Law
;
identity of indiscernibles
;
indiscernibility of identicals
;
salva veritate
;
Quine
;
Rescher
;
Curley
;
Feldman
;
concepts
;
concept containment theory
;
criterion of concept identity
;
substitutivity
Recommended Citations
Refworks
EndNote
RIS
Mendeley
Citations
Hogan, A. D. (2014).
Leibniz Did Not State Leibniz's Law
[Master's thesis, Ohio University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1397054389
APA Style (7th edition)
Hogan, Adam.
Leibniz Did Not State Leibniz's Law.
2014. Ohio University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1397054389.
MLA Style (8th edition)
Hogan, Adam. "Leibniz Did Not State Leibniz's Law." Master's thesis, Ohio University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1397054389
Chicago Manual of Style (17th edition)
Abstract Footer
Document number:
ohiou1397054389
Download Count:
463
Copyright Info
© 2014, all rights reserved.
This open access ETD is published by Ohio University and OhioLINK.